### Question

**A, B, C, D and E play a game of cards. A says to B, “If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has.” A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?**

A. 35

B. 25

C. 22

D. 23

**Answer:** B

**Solution:**

Clearly, we have :

B – 3 = E …(i)

B + 3 = D …(ii)

A + B = D + E + 10 …(iii)

B = C + 2 …(iv)

A + B + C + D + E = 133 …(v)

From (i) and (ii), we have : 2 B = D + E …(vi)

From (iii) and (vi), we have : A = B + 10 …(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B – 2) + 2B = 133

5B = 125

B = 25